Finding the Fourth Proportional to 1,325.61, 1,829.37 and 766.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,325.61 : 1,829.37 = 766.10 : x
2. Step 2: Convert to fraction form
   1,325.61/1,829.37 = 766.10/x
3. Step 3: Cross multiply
   1,325.61x = 1,829.37 × 766.10
4. Step 4: Simplify right side
   1,325.61x = 1,401,471.21
5. Step 5: Solve for x
   x = 1,401,471.21/1,325.61
6. Step 6: Final answer
   x = 1,057.23